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Simplifying (3a + 2b + -7) + (-8a + b + 3) = 0 Reorder the terms: (-7 + 3a + 2b) + (-8a + b + 3) = 0 Remove parenthesis around (-7 + 3a + 2b) -7 + 3a + 2b + (-8a + b + 3) = 0 Reorder the terms: -7 + 3a + 2b + (3 + -8a + b) = 0 Remove parenthesis around (3 + -8a + b) -7 + 3a + 2b + 3 + -8a + b = 0 Reorder the terms: -7 + 3 + 3a + -8a + 2b + b = 0 Combine like terms: -7 + 3 = -4 -4 + 3a + -8a + 2b + b = 0 Combine like terms: 3a + -8a = -5a -4 + -5a + 2b + b = 0 Combine like terms: 2b + b = 3b -4 + -5a + 3b = 0 Solving -4 + -5a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5a + 4 + 3b = 0 + 4 Reorder the terms: -4 + 4 + -5a + 3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5a + 3b = 0 + 4 -5a + 3b = 0 + 4 Combine like terms: 0 + 4 = 4 -5a + 3b = 4 Add '-3b' to each side of the equation. -5a + 3b + -3b = 4 + -3b Combine like terms: 3b + -3b = 0 -5a + 0 = 4 + -3b -5a = 4 + -3b Divide each side by '-5'. a = -0.8 + 0.6b Simplifying a = -0.8 + 0.6b
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